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by argonaut 3677 days ago
Your first description isn't a Nash equilibrium because you're considering second-order effects (you're considering the reaction of other players to your changes), when Nash equilibrium only concerns itself with first-order effects - you assume other players do not change and if under that assumption every player is at the best action already, then you're in a Nash equilibrium.

I don't think cable companies are at a Nash equilibrium, but they may be at other forms of equilibrium that I'm not familiar with. Also this game is iterated so there are other (crucial) dynamics at play that I am not familiar with.

2 comments

Good point. Subgame perfect Nash equilibrium [1] would be more accurate since it applies to dynamic games.

[1] https://en.wikipedia.org/wiki/Subgame_perfect_equilibrium

It's not Nash equilibrium, but this is a standard result in industrial organization. Companies "collude" by threatening to start price wars. The threat of a price war is enough deterrent to prevent anyone from undercutting anyone else.